GCF of 3636/777, 5517/597
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3636/777, 5517/597 i.e 9/154623 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3636/777, 5517/597.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 3636/777,5517/597?
Given fractions are 3636/777,5517/597
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 3636/777,5517/597, numerators are 3636,5517
Denominators are 777,597
The GCF of 3636,5517 is 9 .
LCM of 777,597 is 154623.
The greatest common factor of 3636/777,5517/597 = [GCF of 3636,5517]/[LCM of 777,597]= 9/154623
Therefore, the GCF of 3636/777,5517/597 is 9/154623.
To find the highest common factor of 3636,5517, we have to find the factors of both numbers and list the highest common factor.
The factors of 3636 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 101, 202, 303, 404, 606, 909, 1212, 1818, 3636
The factors of 5517 are 1, 3, 9, 613, 1839, 5517
The HCF of 3636,5517 is 9.
Lets's calculate GCF of 3636,5517
| 3 | 3636, 5517 |
| 3 | 1212, 1839 |
| 404, 613 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 3636,5517 By Matching Biggest Common Factor Method
Now, list down the factors of 3636
:1,2,3,4,6,9,12,18,36,101,202,303,404,606,909,1212,1818,3636
Now, list down the factors of 5517
:1,3,9,613,1839,5517
Greatest Common Factor
We found the factors 3636,5517 . The biggest common factor number is the GCF number.
So the greatest common factor 3636,5517 is 9.
Lets's calculate LCM of 777,597
| 3 | 777, 597 |
| 259, 199 |
∴ So the LCM of the given numbers is 3 x 259 x 199 = 154623
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/154623
Therefore, the GCF of Fractions 3636/777,5517/597 is 9/154623
Least Common Multiple of 777,597 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 777,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(777,597) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(777,597) x common factors =3 x 1 = 3
LCM(777,597) = ( 777 × 597 ) / 3
LCM(777,597) = 463869 / 3
LCM(777,597) = 154623
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FAQs on GCF of Fractions of 3636/777, 5517/597
1. What is the HCF of 3636,5517?
The HCF of 3636,5517 is 9
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 3636/777, 5517/597?
Answer: GCF of Numerators as per given numbers 3636/777, 5517/597 is
GCF of Numerators i.e. for 3636,5517 is 9
LCM of denominators i.e. for 777,597 is 154623.
Thus, GCF of Fractions is 9/154623.Finally, GCF of Fractions for 3636/777, 5517/597 is 9/154623.